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Finding the Fourth Proportional to 13,136.84, 19,704.78 and 3,902.60

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Solution

The fourth proportional to 13,136.84, 19,704.78 and 3,902.60 is: 5,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.84 : 19,704.78 = 3,902.60 : x
  2. Step 2: Convert to fraction form
    13,136.84/19,704.78 = 3,902.60/x
  3. Step 3: Cross multiply
    13,136.84x = 19,704.78 × 3,902.60
  4. Step 4: Simplify right side
    13,136.84x = 76,899,874.43
  5. Step 5: Solve for x
    x = 76,899,874.43/13,136.84
  6. Step 6: Final answer
    x = 5,853.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.